i can see your point, although i don't really get it.
on one hand you say, you get a chance to get paid much more,
on the other hand you say,
from the mathematical point of view, the average expected payout is exactly the same.
what is it now, much more, or exactly the same?
obviously it's the same, the bad side of standalone-mining (at least for low-power-contributors) is,
that you
risk to lose it all and get nothing in the end.
in the pool you get the same payout, in form of micropayments, but without the risk to lose it.
except for the thrill, there's nothing to win in standalone-mining, but a few coins to lose.
anyway, as long as you push power to the network, no matter how tiny it is, no matter if pooled or not,
you'll help make our system stronger.
happy crunching.